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Finding the Fourth Proportional to 6,523.61, 9,767.18 and 3,396.80

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Solution

The fourth proportional to 6,523.61, 9,767.18 and 3,396.80 is: 5,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.61 : 9,767.18 = 3,396.80 : x
  2. Step 2: Convert to fraction form
    6,523.61/9,767.18 = 3,396.80/x
  3. Step 3: Cross multiply
    6,523.61x = 9,767.18 × 3,396.80
  4. Step 4: Simplify right side
    6,523.61x = 33,177,189.93
  5. Step 5: Solve for x
    x = 33,177,189.93/6,523.61
  6. Step 6: Final answer
    x = 5,085.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.